Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,6,Mod(67,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(23.5764215125\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 98x^{6} + 83x^{5} + 9122x^{4} - 91x^{3} + 28567x^{2} + 2058x + 86436 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3\cdot 7^{2} \) |
Twist minimal: | no (minimal twist has level 21) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.4 | ||
Root | \(5.09061 - 8.81720i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 147.79 |
Dual form | 147.6.e.o.67.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.59061 | − | 7.95118i | 0.811514 | − | 1.40558i | −0.100291 | − | 0.994958i | \(-0.531977\pi\) |
0.911804 | − | 0.410625i | \(-0.134689\pi\) | |||||||
\(3\) | 4.50000 | + | 7.79423i | 0.288675 | + | 0.500000i | ||||
\(4\) | −26.1475 | − | 45.2888i | −0.817109 | − | 1.41527i | ||||
\(5\) | 11.0358 | − | 19.1146i | 0.197414 | − | 0.341932i | −0.750275 | − | 0.661126i | \(-0.770079\pi\) |
0.947689 | + | 0.319194i | \(0.103412\pi\) | |||||||
\(6\) | 82.6311 | 0.937055 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −186.333 | −1.02935 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | −101.322 | − | 175.495i | −0.320409 | − | 0.554965i | ||||
\(11\) | −208.355 | − | 360.881i | −0.519184 | − | 0.899254i | −0.999751 | − | 0.0222959i | \(-0.992902\pi\) |
0.480567 | − | 0.876958i | \(-0.340431\pi\) | |||||||
\(12\) | 235.327 | − | 407.599i | 0.471758 | − | 0.817109i | ||||
\(13\) | −797.918 | −1.30948 | −0.654742 | − | 0.755853i | \(-0.727223\pi\) | ||||
−0.654742 | + | 0.755853i | \(0.727223\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 198.644 | 0.227955 | ||||||||
\(16\) | −18.6623 | + | 32.3240i | −0.0182249 | + | 0.0315664i | ||||
\(17\) | −687.775 | − | 1191.26i | −0.577197 | − | 0.999735i | −0.995799 | − | 0.0915652i | \(-0.970813\pi\) |
0.418602 | − | 0.908170i | \(-0.362520\pi\) | |||||||
\(18\) | 371.840 | + | 644.045i | 0.270505 | + | 0.468528i | ||||
\(19\) | 1156.51 | − | 2003.14i | 0.734965 | − | 1.27300i | −0.219774 | − | 0.975551i | \(-0.570532\pi\) |
0.954739 | − | 0.297446i | \(-0.0961347\pi\) | |||||||
\(20\) | −1154.23 | −0.645236 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3825.91 | −1.68530 | ||||||||
\(23\) | 477.701 | − | 827.402i | 0.188294 | − | 0.326135i | −0.756388 | − | 0.654124i | \(-0.773038\pi\) |
0.944682 | + | 0.327989i | \(0.106371\pi\) | |||||||
\(24\) | −838.497 | − | 1452.32i | −0.297149 | − | 0.514676i | ||||
\(25\) | 1318.92 | + | 2284.44i | 0.422055 | + | 0.731021i | ||||
\(26\) | −3662.93 | + | 6344.39i | −1.06266 | + | 1.84059i | ||||
\(27\) | −729.000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −7035.29 | −1.55341 | −0.776707 | − | 0.629862i | \(-0.783111\pi\) | ||||
−0.776707 | + | 0.629862i | \(0.783111\pi\) | |||||||
\(30\) | 911.900 | − | 1579.46i | 0.184988 | − | 0.320409i | ||||
\(31\) | 630.596 | + | 1092.22i | 0.117855 | + | 0.204130i | 0.918917 | − | 0.394450i | \(-0.129065\pi\) |
−0.801063 | + | 0.598581i | \(0.795732\pi\) | |||||||
\(32\) | −2809.98 | − | 4867.03i | −0.485097 | − | 0.840212i | ||||
\(33\) | 1875.19 | − | 3247.93i | 0.299751 | − | 0.519184i | ||||
\(34\) | −12629.2 | −1.87361 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4235.89 | 0.544739 | ||||||||
\(37\) | −4888.22 | + | 8466.65i | −0.587012 | + | 1.01673i | 0.407610 | + | 0.913156i | \(0.366362\pi\) |
−0.994621 | + | 0.103578i | \(0.966971\pi\) | |||||||
\(38\) | −10618.2 | − | 18391.3i | −1.19287 | − | 2.06611i | ||||
\(39\) | −3590.63 | − | 6219.16i | −0.378015 | − | 0.654742i | ||||
\(40\) | −2056.33 | + | 3561.67i | −0.203209 | + | 0.351968i | ||||
\(41\) | 5400.95 | 0.501777 | 0.250888 | − | 0.968016i | \(-0.419277\pi\) | ||||
0.250888 | + | 0.968016i | \(0.419277\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 19686.6 | 1.62367 | 0.811837 | − | 0.583885i | \(-0.198468\pi\) | ||||
0.811837 | + | 0.583885i | \(0.198468\pi\) | |||||||
\(44\) | −10895.9 | + | 18872.3i | −0.848460 | + | 1.46958i | ||||
\(45\) | 893.900 | + | 1548.28i | 0.0658048 | + | 0.113977i | ||||
\(46\) | −4385.88 | − | 7596.57i | −0.305606 | − | 0.529326i | ||||
\(47\) | 1028.28 | − | 1781.04i | 0.0678997 | − | 0.117606i | −0.830077 | − | 0.557649i | \(-0.811704\pi\) |
0.897977 | + | 0.440043i | \(0.145037\pi\) | |||||||
\(48\) | −335.921 | −0.0210443 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 24218.7 | 1.37001 | ||||||||
\(51\) | 6189.98 | − | 10721.4i | 0.333245 | − | 0.577197i | ||||
\(52\) | 20863.5 | + | 36136.7i | 1.06999 | + | 1.85328i | ||||
\(53\) | −9011.37 | − | 15608.2i | −0.440658 | − | 0.763241i | 0.557081 | − | 0.830458i | \(-0.311921\pi\) |
−0.997738 | + | 0.0672170i | \(0.978588\pi\) | |||||||
\(54\) | −3346.56 | + | 5796.41i | −0.156176 | + | 0.270505i | ||||
\(55\) | −9197.45 | −0.409978 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 20817.2 | 0.848664 | ||||||||
\(58\) | −32296.3 | + | 55938.8i | −1.26062 | + | 2.18345i | ||||
\(59\) | 3717.84 | + | 6439.49i | 0.139047 | + | 0.240836i | 0.927136 | − | 0.374725i | \(-0.122263\pi\) |
−0.788089 | + | 0.615561i | \(0.788930\pi\) | |||||||
\(60\) | −5194.05 | − | 8996.36i | −0.186264 | − | 0.322618i | ||||
\(61\) | 1747.69 | − | 3027.09i | 0.0601368 | − | 0.104160i | −0.834390 | − | 0.551175i | \(-0.814180\pi\) |
0.894526 | + | 0.447015i | \(0.147513\pi\) | |||||||
\(62\) | 11579.3 | 0.382563 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −52792.5 | −1.61110 | ||||||||
\(65\) | −8805.67 | + | 15251.9i | −0.258511 | + | 0.447754i | ||||
\(66\) | −17216.6 | − | 29820.0i | −0.486505 | − | 0.842651i | ||||
\(67\) | −7928.21 | − | 13732.1i | −0.215769 | − | 0.373722i | 0.737741 | − | 0.675083i | \(-0.235892\pi\) |
−0.953510 | + | 0.301361i | \(0.902559\pi\) | |||||||
\(68\) | −35967.2 | + | 62297.0i | −0.943266 | + | 1.63378i | ||||
\(69\) | 8598.62 | 0.217423 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 58133.5 | 1.36861 | 0.684306 | − | 0.729195i | \(-0.260105\pi\) | ||||
0.684306 | + | 0.729195i | \(0.260105\pi\) | |||||||
\(72\) | 7546.48 | − | 13070.9i | 0.171559 | − | 0.297149i | ||||
\(73\) | 19555.3 | + | 33870.8i | 0.429495 | + | 0.743907i | 0.996828 | − | 0.0795812i | \(-0.0253583\pi\) |
−0.567334 | + | 0.823488i | \(0.692025\pi\) | |||||||
\(74\) | 44879.9 | + | 77734.2i | 0.952736 | + | 1.65019i | ||||
\(75\) | −11870.3 | + | 20560.0i | −0.243674 | + | 0.422055i | ||||
\(76\) | −120960. | −2.40218 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −65932.8 | −1.22706 | ||||||||
\(79\) | −4880.35 | + | 8453.01i | −0.0879798 | + | 0.152385i | −0.906657 | − | 0.421868i | \(-0.861374\pi\) |
0.818677 | + | 0.574254i | \(0.194708\pi\) | |||||||
\(80\) | 411.906 | + | 713.442i | 0.00719570 | + | 0.0124633i | ||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 24793.7 | − | 42943.9i | 0.407199 | − | 0.705289i | ||||
\(83\) | 70395.7 | 1.12163 | 0.560816 | − | 0.827940i | \(-0.310487\pi\) | ||||
0.560816 | + | 0.827940i | \(0.310487\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −30360.6 | −0.455788 | ||||||||
\(86\) | 90373.4 | − | 156531.i | 1.31763 | − | 2.28221i | ||||
\(87\) | −31658.8 | − | 54834.7i | −0.448432 | − | 0.776707i | ||||
\(88\) | 38823.3 | + | 67243.9i | 0.534424 | + | 0.925649i | ||||
\(89\) | 72153.1 | − | 124973.i | 0.965562 | − | 1.67240i | 0.257464 | − | 0.966288i | \(-0.417113\pi\) |
0.708098 | − | 0.706115i | \(-0.249554\pi\) | |||||||
\(90\) | 16414.2 | 0.213606 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −49962.7 | −0.615427 | ||||||||
\(93\) | −5675.36 | + | 9830.01i | −0.0680434 | + | 0.117855i | ||||
\(94\) | −9440.90 | − | 16352.1i | −0.110203 | − | 0.190877i | ||||
\(95\) | −25526.1 | − | 44212.5i | −0.290185 | − | 0.502616i | ||||
\(96\) | 25289.8 | − | 43803.3i | 0.280071 | − | 0.485097i | ||||
\(97\) | 79328.7 | 0.856053 | 0.428027 | − | 0.903766i | \(-0.359209\pi\) | ||||
0.428027 | + | 0.903766i | \(0.359209\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 33753.5 | 0.346123 | ||||||||
\(100\) | 68973.0 | − | 119465.i | 0.689730 | − | 1.19465i | ||||
\(101\) | −42416.9 | − | 73468.2i | −0.413747 | − | 0.716631i | 0.581549 | − | 0.813512i | \(-0.302447\pi\) |
−0.995296 | + | 0.0968802i | \(0.969114\pi\) | |||||||
\(102\) | −56831.6 | − | 98435.2i | −0.540866 | − | 0.936807i | ||||
\(103\) | 10166.1 | − | 17608.3i | 0.0944197 | − | 0.163540i | −0.814947 | − | 0.579536i | \(-0.803234\pi\) |
0.909366 | + | 0.415996i | \(0.136567\pi\) | |||||||
\(104\) | 148678. | 1.34792 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −165471. | −1.43040 | ||||||||
\(107\) | −3481.09 | + | 6029.43i | −0.0293938 | + | 0.0509116i | −0.880348 | − | 0.474328i | \(-0.842691\pi\) |
0.850954 | + | 0.525240i | \(0.176024\pi\) | |||||||
\(108\) | 19061.5 | + | 33015.5i | 0.157253 | + | 0.272370i | ||||
\(109\) | −56325.7 | − | 97559.0i | −0.454088 | − | 0.786504i | 0.544547 | − | 0.838730i | \(-0.316702\pi\) |
−0.998635 | + | 0.0522262i | \(0.983368\pi\) | |||||||
\(110\) | −42221.9 | + | 73130.5i | −0.332703 | + | 0.576258i | ||||
\(111\) | −87988.0 | −0.677823 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 112005. | 0.825167 | 0.412583 | − | 0.910920i | \(-0.364627\pi\) | ||||
0.412583 | + | 0.910920i | \(0.364627\pi\) | |||||||
\(114\) | 95563.9 | − | 165522.i | 0.688703 | − | 1.19287i | ||||
\(115\) | −10543.6 | − | 18262.1i | −0.0743439 | − | 0.128767i | ||||
\(116\) | 183955. | + | 318620.i | 1.26931 | + | 2.19851i | ||||
\(117\) | 32315.7 | − | 55972.4i | 0.218247 | − | 0.378015i | ||||
\(118\) | 68268.7 | 0.451353 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −37014.0 | −0.234646 | ||||||||
\(121\) | −6297.91 | + | 10908.3i | −0.0391051 | + | 0.0677320i | ||||
\(122\) | −16046.0 | − | 27792.4i | −0.0976037 | − | 0.169055i | ||||
\(123\) | 24304.3 | + | 42096.2i | 0.144850 | + | 0.250888i | ||||
\(124\) | 32977.0 | − | 57117.8i | 0.192600 | − | 0.333593i | ||||
\(125\) | 127195. | 0.728108 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 82224.5 | 0.452368 | 0.226184 | − | 0.974085i | \(-0.427375\pi\) | ||||
0.226184 | + | 0.974085i | \(0.427375\pi\) | |||||||
\(128\) | −152431. | + | 264018.i | −0.822333 | + | 1.42432i | ||||
\(129\) | 88589.5 | + | 153442.i | 0.468714 | + | 0.811837i | ||||
\(130\) | 80846.8 | + | 140031.i | 0.419570 | + | 0.726717i | ||||
\(131\) | −87905.9 | + | 152258.i | −0.447548 | + | 0.775176i | −0.998226 | − | 0.0595417i | \(-0.981036\pi\) |
0.550677 | + | 0.834718i | \(0.314369\pi\) | |||||||
\(132\) | −196126. | −0.979718 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −145581. | −0.700397 | ||||||||
\(135\) | −8045.10 | + | 13934.5i | −0.0379924 | + | 0.0658048i | ||||
\(136\) | 128155. | + | 221971.i | 0.594140 | + | 1.02908i | ||||
\(137\) | −15665.2 | − | 27132.9i | −0.0713072 | − | 0.123508i | 0.828167 | − | 0.560481i | \(-0.189384\pi\) |
−0.899474 | + | 0.436973i | \(0.856050\pi\) | |||||||
\(138\) | 39472.9 | − | 68369.1i | 0.176442 | − | 0.305606i | ||||
\(139\) | −152234. | −0.668305 | −0.334152 | − | 0.942519i | \(-0.608450\pi\) | ||||
−0.334152 | + | 0.942519i | \(0.608450\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 18509.1 | 0.0784038 | ||||||||
\(142\) | 266868. | − | 462229.i | 1.11065 | − | 1.92370i | ||||
\(143\) | 166250. | + | 287953.i | 0.679863 | + | 1.17756i | ||||
\(144\) | −1511.64 | − | 2618.24i | −0.00607495 | − | 0.0105221i | ||||
\(145\) | −77640.1 | + | 134477.i | −0.306666 | + | 0.531162i | ||||
\(146\) | 359084. | 1.39416 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 511259. | 1.91861 | ||||||||
\(149\) | −181430. | + | 314246.i | −0.669489 | + | 1.15959i | 0.308558 | + | 0.951206i | \(0.400154\pi\) |
−0.978047 | + | 0.208384i | \(0.933180\pi\) | |||||||
\(150\) | 108984. | + | 188766.i | 0.395489 | + | 0.685007i | ||||
\(151\) | −102563. | − | 177644.i | −0.366056 | − | 0.634027i | 0.622889 | − | 0.782310i | \(-0.285959\pi\) |
−0.988945 | + | 0.148283i | \(0.952625\pi\) | |||||||
\(152\) | −215496. | + | 373250.i | −0.756538 | + | 1.31036i | ||||
\(153\) | 111420. | 0.384798 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 27836.5 | 0.0930648 | ||||||||
\(156\) | −187772. | + | 325231.i | −0.617759 | + | 1.06999i | ||||
\(157\) | −38636.0 | − | 66919.5i | −0.125096 | − | 0.216672i | 0.796675 | − | 0.604409i | \(-0.206591\pi\) |
−0.921770 | + | 0.387736i | \(0.873257\pi\) | |||||||
\(158\) | 44807.6 | + | 77609.0i | 0.142794 | + | 0.247326i | ||||
\(159\) | 81102.3 | − | 140473.i | 0.254414 | − | 0.440658i | ||||
\(160\) | −124042. | −0.383060 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −60238.0 | −0.180336 | ||||||||
\(163\) | −92465.7 | + | 160155.i | −0.272591 | + | 0.472141i | −0.969525 | − | 0.244994i | \(-0.921214\pi\) |
0.696934 | + | 0.717136i | \(0.254547\pi\) | |||||||
\(164\) | −141221. | − | 244602.i | −0.410006 | − | 0.710152i | ||||
\(165\) | −41388.5 | − | 71687.0i | −0.118350 | − | 0.204989i | ||||
\(166\) | 323159. | − | 559728.i | 0.910220 | − | 1.57655i | ||||
\(167\) | −129262. | −0.358657 | −0.179329 | − | 0.983789i | \(-0.557393\pi\) | ||||
−0.179329 | + | 0.983789i | \(0.557393\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 265380. | 0.714746 | ||||||||
\(170\) | −139374. | + | 241403.i | −0.369878 | + | 0.640648i | ||||
\(171\) | 93677.6 | + | 162254.i | 0.244988 | + | 0.424332i | ||||
\(172\) | −514754. | − | 891580.i | −1.32672 | − | 2.29794i | ||||
\(173\) | −253934. | + | 439826.i | −0.645067 | + | 1.11729i | 0.339219 | + | 0.940707i | \(0.389837\pi\) |
−0.984286 | + | 0.176582i | \(0.943496\pi\) | |||||||
\(174\) | −581334. | −1.45563 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 15553.5 | 0.0378483 | ||||||||
\(177\) | −33460.6 | + | 57955.4i | −0.0802786 | + | 0.139047i | ||||
\(178\) | −662454. | − | 1.14740e6i | −1.56713 | − | 2.71435i | ||||
\(179\) | 66294.5 | + | 114825.i | 0.154648 | + | 0.267859i | 0.932931 | − | 0.360056i | \(-0.117242\pi\) |
−0.778283 | + | 0.627914i | \(0.783909\pi\) | |||||||
\(180\) | 46746.5 | − | 80967.3i | 0.107539 | − | 0.186264i | ||||
\(181\) | 740060. | 1.67908 | 0.839538 | − | 0.543301i | \(-0.182826\pi\) | ||||
0.839538 | + | 0.543301i | \(0.182826\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 31458.5 | 0.0694400 | ||||||||
\(184\) | −89011.3 | + | 154172.i | −0.193821 | + | 0.335708i | ||||
\(185\) | 107891. | + | 186873.i | 0.231769 | + | 0.401436i | ||||
\(186\) | 52106.8 | + | 90251.6i | 0.110436 | + | 0.191281i | ||||
\(187\) | −286603. | + | 496410.i | −0.599344 | + | 1.03809i | ||||
\(188\) | −107548. | −0.221926 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −468722. | −0.941957 | ||||||||
\(191\) | 291366. | − | 504661.i | 0.577904 | − | 1.00096i | −0.417815 | − | 0.908532i | \(-0.637204\pi\) |
0.995719 | − | 0.0924273i | \(-0.0294626\pi\) | |||||||
\(192\) | −237566. | − | 411477.i | −0.465085 | − | 0.805550i | ||||
\(193\) | 200452. | + | 347193.i | 0.387362 | + | 0.670931i | 0.992094 | − | 0.125498i | \(-0.0400529\pi\) |
−0.604731 | + | 0.796429i | \(0.706720\pi\) | |||||||
\(194\) | 364167. | − | 630756.i | 0.694699 | − | 1.20325i | ||||
\(195\) | −158502. | −0.298503 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 671589. | 1.23293 | 0.616464 | − | 0.787383i | \(-0.288564\pi\) | ||||
0.616464 | + | 0.787383i | \(0.288564\pi\) | |||||||
\(198\) | 154949. | − | 268380.i | 0.280884 | − | 0.486505i | ||||
\(199\) | −227511. | − | 394060.i | −0.407258 | − | 0.705391i | 0.587324 | − | 0.809352i | \(-0.300182\pi\) |
−0.994581 | + | 0.103961i | \(0.966848\pi\) | |||||||
\(200\) | −245758. | − | 425666.i | −0.434443 | − | 0.752478i | ||||
\(201\) | 71353.9 | − | 123589.i | 0.124574 | − | 0.215769i | ||||
\(202\) | −778878. | −1.34305 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −647409. | −1.08919 | ||||||||
\(205\) | 59603.8 | − | 103237.i | 0.0990580 | − | 0.171573i | ||||
\(206\) | −93337.6 | − | 161665.i | −0.153246 | − | 0.265430i | ||||
\(207\) | 38693.8 | + | 67019.6i | 0.0627647 | + | 0.108712i | ||||
\(208\) | 14891.0 | − | 25791.9i | 0.0238652 | − | 0.0413357i | ||||
\(209\) | −963860. | −1.52633 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.19545e6 | −1.84852 | −0.924260 | − | 0.381764i | \(-0.875317\pi\) | ||||
−0.924260 | + | 0.381764i | \(0.875317\pi\) | |||||||
\(212\) | −471249. | + | 816228.i | −0.720130 | + | 1.24730i | ||||
\(213\) | 261601. | + | 453105.i | 0.395084 | + | 0.684306i | ||||
\(214\) | 31960.7 | + | 55357.6i | 0.0477070 | + | 0.0826310i | ||||
\(215\) | 217257. | − | 376300.i | 0.320537 | − | 0.555186i | ||||
\(216\) | 135837. | 0.198099 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −1.03428e6 | −1.47400 | ||||||||
\(219\) | −175998. | + | 304837.i | −0.247969 | + | 0.429495i | ||||
\(220\) | 240490. | + | 416541.i | 0.334997 | + | 0.580231i | ||||
\(221\) | 548788. | + | 950529.i | 0.755830 | + | 1.30914i | ||||
\(222\) | −403919. | + | 699608.i | −0.550062 | + | 0.952736i | ||||
\(223\) | −296529. | −0.399305 | −0.199653 | − | 0.979867i | \(-0.563981\pi\) | ||||
−0.199653 | + | 0.979867i | \(0.563981\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −213665. | −0.281370 | ||||||||
\(226\) | 514172. | − | 890573.i | 0.669634 | − | 1.15984i | ||||
\(227\) | 109073. | + | 188920.i | 0.140492 | + | 0.243340i | 0.927682 | − | 0.373371i | \(-0.121798\pi\) |
−0.787190 | + | 0.616711i | \(0.788465\pi\) | |||||||
\(228\) | −544318. | − | 942787.i | −0.693451 | − | 1.20109i | ||||
\(229\) | −614602. | + | 1.06452e6i | −0.774471 | + | 1.34142i | 0.160620 | + | 0.987016i | \(0.448651\pi\) |
−0.935091 | + | 0.354407i | \(0.884683\pi\) | |||||||
\(230\) | −193607. | −0.241324 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.31090e6 | 1.59901 | ||||||||
\(233\) | 31472.1 | − | 54511.3i | 0.0379784 | − | 0.0657805i | −0.846411 | − | 0.532530i | \(-0.821242\pi\) |
0.884390 | + | 0.466749i | \(0.154575\pi\) | |||||||
\(234\) | −296698. | − | 513895.i | −0.354221 | − | 0.613529i | ||||
\(235\) | −22695.8 | − | 39310.4i | −0.0268088 | − | 0.0464341i | ||||
\(236\) | 194424. | − | 336753.i | 0.227233 | − | 0.393578i | ||||
\(237\) | −87846.2 | −0.101590 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 219330. | 0.248372 | 0.124186 | − | 0.992259i | \(-0.460368\pi\) | ||||
0.124186 | + | 0.992259i | \(0.460368\pi\) | |||||||
\(240\) | −3707.15 | + | 6420.98i | −0.00415444 | + | 0.00719570i | ||||
\(241\) | 216932. | + | 375737.i | 0.240592 | + | 0.416717i | 0.960883 | − | 0.276955i | \(-0.0893252\pi\) |
−0.720291 | + | 0.693672i | \(0.755992\pi\) | |||||||
\(242\) | 57822.6 | + | 100152.i | 0.0634686 | + | 0.109931i | ||||
\(243\) | 29524.5 | − | 51137.9i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −182791. | −0.196553 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 446286. | 0.470193 | ||||||||
\(247\) | −922803. | + | 1.59834e6i | −0.962424 | + | 1.66697i | ||||
\(248\) | −117501. | − | 203517.i | −0.121314 | − | 0.210122i | ||||
\(249\) | 316780. | + | 548680.i | 0.323787 | + | 0.560816i | ||||
\(250\) | 583904. | − | 1.01135e6i | 0.590870 | − | 1.02342i | ||||
\(251\) | 1.71109e6 | 1.71431 | 0.857155 | − | 0.515059i | \(-0.172230\pi\) | ||||
0.857155 | + | 0.515059i | \(0.172230\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −398125. | −0.391037 | ||||||||
\(254\) | 377461. | − | 653782.i | 0.367103 | − | 0.635841i | ||||
\(255\) | −136623. | − | 236638.i | −0.131575 | − | 0.227894i | ||||
\(256\) | 554822. | + | 960979.i | 0.529119 | + | 0.916461i | ||||
\(257\) | 492029. | − | 852219.i | 0.464684 | − | 0.804856i | −0.534503 | − | 0.845166i | \(-0.679501\pi\) |
0.999187 | + | 0.0403103i | \(0.0128346\pi\) | |||||||
\(258\) | 1.62672e6 | 1.52147 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 920984. | 0.844926 | ||||||||
\(261\) | 284929. | − | 493512.i | 0.258902 | − | 0.448432i | ||||
\(262\) | 807084. | + | 1.39791e6i | 0.726383 | + | 1.25813i | ||||
\(263\) | −273548. | − | 473799.i | −0.243862 | − | 0.422381i | 0.717949 | − | 0.696096i | \(-0.245081\pi\) |
−0.961811 | + | 0.273714i | \(0.911748\pi\) | |||||||
\(264\) | −349410. | + | 605196.i | −0.308550 | + | 0.534424i | ||||
\(265\) | −397791. | −0.347969 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.29876e6 | 1.11493 | ||||||||
\(268\) | −414605. | + | 718118.i | −0.352613 | + | 0.610743i | ||||
\(269\) | −320556. | − | 555219.i | −0.270099 | − | 0.467825i | 0.698788 | − | 0.715329i | \(-0.253723\pi\) |
−0.968887 | + | 0.247504i | \(0.920390\pi\) | |||||||
\(270\) | 73863.9 | + | 127936.i | 0.0616627 | + | 0.106803i | ||||
\(271\) | −274006. | + | 474593.i | −0.226640 | + | 0.392552i | −0.956810 | − | 0.290713i | \(-0.906107\pi\) |
0.730170 | + | 0.683265i | \(0.239441\pi\) | |||||||
\(272\) | 51341.8 | 0.0420774 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −287651. | −0.231467 | ||||||||
\(275\) | 549607. | − | 951948.i | 0.438249 | − | 0.759069i | ||||
\(276\) | −224832. | − | 389421.i | −0.177658 | − | 0.307713i | ||||
\(277\) | −837070. | − | 1.44985e6i | −0.655485 | − | 1.13533i | −0.981772 | − | 0.190062i | \(-0.939131\pi\) |
0.326287 | − | 0.945271i | \(-0.394202\pi\) | |||||||
\(278\) | −698847. | + | 1.21044e6i | −0.542338 | + | 0.939358i | ||||
\(279\) | −102157. | −0.0785698 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.81078e6 | 1.36804 | 0.684021 | − | 0.729462i | \(-0.260230\pi\) | ||||
0.684021 | + | 0.729462i | \(0.260230\pi\) | |||||||
\(282\) | 84968.1 | − | 147169.i | 0.0636258 | − | 0.110203i | ||||
\(283\) | 1.25657e6 | + | 2.17645e6i | 0.932657 | + | 1.61541i | 0.778759 | + | 0.627323i | \(0.215849\pi\) |
0.153898 | + | 0.988087i | \(0.450817\pi\) | |||||||
\(284\) | −1.52004e6 | − | 2.63279e6i | −1.11830 | − | 1.93696i | ||||
\(285\) | 229735. | − | 397913.i | 0.167539 | − | 0.290185i | ||||
\(286\) | 3.05276e6 | 2.20687 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 455217. | 0.323398 | ||||||||
\(289\) | −236142. | + | 409009.i | −0.166314 | + | 0.288064i | ||||
\(290\) | 712831. | + | 1.23466e6i | 0.497728 | + | 0.862090i | ||||
\(291\) | 356979. | + | 618306.i | 0.247121 | + | 0.428027i | ||||
\(292\) | 1.02265e6 | − | 1.77127e6i | 0.701888 | − | 1.21571i | ||||
\(293\) | −107228. | −0.0729691 | −0.0364845 | − | 0.999334i | \(-0.511616\pi\) | ||||
−0.0364845 | + | 0.999334i | \(0.511616\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 164117. | 0.109799 | ||||||||
\(296\) | 910836. | − | 1.57761e6i | 0.604242 | − | 1.04658i | ||||
\(297\) | 151891. | + | 263082.i | 0.0999171 | + | 0.173061i | ||||
\(298\) | 1.66575e6 | + | 2.88517e6i | 1.08660 | + | 1.88205i | ||||
\(299\) | −381166. | + | 660199.i | −0.246568 | + | 0.427068i | ||||
\(300\) | 1.24151e6 | 0.796431 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.88330e6 | −1.18824 | ||||||||
\(303\) | 381752. | − | 661214.i | 0.238877 | − | 0.413747i | ||||
\(304\) | 43166.3 | + | 74766.2i | 0.0267893 | + | 0.0464004i | ||||
\(305\) | −38574.4 | − | 66812.8i | −0.0237437 | − | 0.0411254i | ||||
\(306\) | 511485. | − | 885917.i | 0.312269 | − | 0.540866i | ||||
\(307\) | −1.49622e6 | −0.906042 | −0.453021 | − | 0.891500i | \(-0.649654\pi\) | ||||
−0.453021 | + | 0.891500i | \(0.649654\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 182990. | 0.109027 | ||||||||
\(310\) | 127787. | − | 221333.i | 0.0755234 | − | 0.130810i | ||||
\(311\) | 430601. | + | 745823.i | 0.252449 | + | 0.437255i | 0.964200 | − | 0.265178i | \(-0.0854306\pi\) |
−0.711750 | + | 0.702433i | \(0.752097\pi\) | |||||||
\(312\) | 669052. | + | 1.15883e6i | 0.389111 | + | 0.673960i | ||||
\(313\) | −251969. | + | 436422.i | −0.145374 | + | 0.251794i | −0.929512 | − | 0.368791i | \(-0.879772\pi\) |
0.784139 | + | 0.620586i | \(0.213105\pi\) | |||||||
\(314\) | −709452. | −0.406068 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 510435. | 0.287556 | ||||||||
\(317\) | 240004. | − | 415700.i | 0.134144 | − | 0.232344i | −0.791126 | − | 0.611653i | \(-0.790505\pi\) |
0.925270 | + | 0.379309i | \(0.123838\pi\) | |||||||
\(318\) | −744619. | − | 1.28972e6i | −0.412921 | − | 0.715199i | ||||
\(319\) | 1.46584e6 | + | 2.53890e6i | 0.806508 | + | 1.39691i | ||||
\(320\) | −582608. | + | 1.00911e6i | −0.318055 | + | 0.550887i | ||||
\(321\) | −62659.7 | −0.0339411 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.18168e6 | −1.69688 | ||||||||
\(324\) | −171554. | + | 297140.i | −0.0907899 | + | 0.157253i | ||||
\(325\) | −1.05239e6 | − | 1.82280e6i | −0.552674 | − | 0.957259i | ||||
\(326\) | 848948. | + | 1.47042e6i | 0.442423 | + | 0.766298i | ||||
\(327\) | 506931. | − | 878031.i | 0.262168 | − | 0.454088i | ||||
\(328\) | −1.00637e6 | −0.516505 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −759995. | −0.384172 | ||||||||
\(331\) | 1.09961e6 | − | 1.90458e6i | 0.551656 | − | 0.955497i | −0.446499 | − | 0.894784i | \(-0.647329\pi\) |
0.998155 | − | 0.0607125i | \(-0.0193373\pi\) | |||||||
\(332\) | −1.84067e6 | − | 3.18813e6i | −0.916496 | − | 1.58742i | ||||
\(333\) | −395946. | − | 685799.i | −0.195671 | − | 0.338911i | ||||
\(334\) | −593392. | + | 1.02778e6i | −0.291055 | + | 0.504122i | ||||
\(335\) | −349977. | −0.170383 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.35725e6 | −0.651008 | −0.325504 | − | 0.945541i | \(-0.605534\pi\) | ||||
−0.325504 | + | 0.945541i | \(0.605534\pi\) | |||||||
\(338\) | 1.21826e6 | − | 2.11008e6i | 0.580026 | − | 1.00463i | ||||
\(339\) | 504023. | + | 872993.i | 0.238205 | + | 0.412583i | ||||
\(340\) | 793854. | + | 1.37499e6i | 0.372429 | + | 0.645065i | ||||
\(341\) | 262775. | − | 455140.i | 0.122377 | − | 0.211963i | ||||
\(342\) | 1.72015e6 | 0.795245 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.66825e6 | −1.67133 | ||||||||
\(345\) | 94892.6 | − | 164359.i | 0.0429225 | − | 0.0743439i | ||||
\(346\) | 2.33142e6 | + | 4.03814e6i | 1.04696 | + | 1.81339i | ||||
\(347\) | −1.89970e6 | − | 3.29038e6i | −0.846959 | − | 1.46698i | −0.883909 | − | 0.467658i | \(-0.845098\pi\) |
0.0369507 | − | 0.999317i | \(-0.488236\pi\) | |||||||
\(348\) | −1.65560e6 | + | 2.86758e6i | −0.732835 | + | 1.26931i | ||||
\(349\) | 1.31753e6 | 0.579024 | 0.289512 | − | 0.957174i | \(-0.406507\pi\) | ||||
0.289512 | + | 0.957174i | \(0.406507\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 581682. | 0.252010 | ||||||||
\(352\) | −1.17095e6 | + | 2.02814e6i | −0.503710 | + | 0.872451i | ||||
\(353\) | −1.71253e6 | − | 2.96618e6i | −0.731477 | − | 1.26695i | −0.956252 | − | 0.292544i | \(-0.905498\pi\) |
0.224775 | − | 0.974411i | \(-0.427835\pi\) | |||||||
\(354\) | 307209. | + | 532102.i | 0.130294 | + | 0.225677i | ||||
\(355\) | 641549. | − | 1.11120e6i | 0.270184 | − | 0.467972i | ||||
\(356\) | −7.54649e6 | −3.15588 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.21733e6 | 0.501997 | ||||||||
\(359\) | −735419. | + | 1.27378e6i | −0.301161 | + | 0.521626i | −0.976399 | − | 0.215974i | \(-0.930707\pi\) |
0.675238 | + | 0.737600i | \(0.264041\pi\) | |||||||
\(360\) | −166563. | − | 288495.i | −0.0677364 | − | 0.117323i | ||||
\(361\) | −1.43700e6 | − | 2.48895e6i | −0.580347 | − | 1.00519i | ||||
\(362\) | 3.39733e6 | − | 5.88435e6i | 1.36259 | − | 2.36008i | ||||
\(363\) | −113362. | −0.0451547 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 863235. | 0.339154 | ||||||||
\(366\) | 144414. | − | 250132.i | 0.0563515 | − | 0.0976037i | ||||
\(367\) | −2.49039e6 | − | 4.31349e6i | −0.965168 | − | 1.67172i | −0.709163 | − | 0.705045i | \(-0.750927\pi\) |
−0.256006 | − | 0.966675i | \(-0.582407\pi\) | |||||||
\(368\) | 17830.0 | + | 30882.4i | 0.00686326 | + | 0.0118875i | ||||
\(369\) | −218738. | + | 378866.i | −0.0836295 | + | 0.144850i | ||||
\(370\) | 1.98114e6 | 0.752335 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 593586. | 0.222396 | ||||||||
\(373\) | −1.98024e6 | + | 3.42987e6i | −0.736962 | + | 1.27646i | 0.216895 | + | 0.976195i | \(0.430407\pi\) |
−0.953857 | + | 0.300261i | \(0.902926\pi\) | |||||||
\(374\) | 2.63136e6 | + | 4.55766e6i | 0.972751 | + | 1.68485i | ||||
\(375\) | 572379. | + | 991389.i | 0.210187 | + | 0.364054i | ||||
\(376\) | −191603. | + | 331866.i | −0.0698927 | + | 0.121058i | ||||
\(377\) | 5.61359e6 | 2.03417 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.75155e6 | −0.626359 | −0.313179 | − | 0.949694i | \(-0.601394\pi\) | ||||
−0.313179 | + | 0.949694i | \(0.601394\pi\) | |||||||
\(380\) | −1.33489e6 | + | 2.31209e6i | −0.474226 | + | 0.821384i | ||||
\(381\) | 370010. | + | 640876.i | 0.130587 | + | 0.226184i | ||||
\(382\) | −2.67510e6 | − | 4.63341e6i | −0.937954 | − | 1.62458i | ||||
\(383\) | 1.56917e6 | − | 2.71788e6i | 0.546604 | − | 0.946745i | −0.451900 | − | 0.892068i | \(-0.649254\pi\) |
0.998504 | − | 0.0546771i | \(-0.0174129\pi\) | |||||||
\(384\) | −2.74375e6 | −0.949549 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.68079e6 | 1.25740 | ||||||||
\(387\) | −797306. | + | 1.38097e6i | −0.270612 | + | 0.468714i | ||||
\(388\) | −2.07425e6 | − | 3.59270e6i | −0.699489 | − | 1.21155i | ||||
\(389\) | 526262. | + | 911512.i | 0.176331 | + | 0.305414i | 0.940621 | − | 0.339459i | \(-0.110244\pi\) |
−0.764290 | + | 0.644872i | \(0.776911\pi\) | |||||||
\(390\) | −727622. | + | 1.26028e6i | −0.242239 | + | 0.419570i | ||||
\(391\) | −1.31420e6 | −0.434731 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.58231e6 | −0.516784 | ||||||||
\(394\) | 3.08301e6 | − | 5.33992e6i | 1.00054 | − | 1.73298i | ||||
\(395\) | 107717. | + | 186571.i | 0.0347370 | + | 0.0601662i | ||||
\(396\) | −882568. | − | 1.52865e6i | −0.282820 | − | 0.489859i | ||||
\(397\) | 227362. | − | 393803.i | 0.0724005 | − | 0.125401i | −0.827552 | − | 0.561389i | \(-0.810267\pi\) |
0.899953 | + | 0.435987i | \(0.143601\pi\) | |||||||
\(398\) | −4.17766e6 | −1.32198 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −98456.3 | −0.0307676 | ||||||||
\(401\) | 1.44216e6 | − | 2.49789e6i | 0.447870 | − | 0.775733i | −0.550378 | − | 0.834916i | \(-0.685516\pi\) |
0.998247 | + | 0.0591831i | \(0.0188496\pi\) | |||||||
\(402\) | −655116. | − | 1.13469e6i | −0.202187 | − | 0.350198i | ||||
\(403\) | −503164. | − | 871505.i | −0.154329 | − | 0.267305i | ||||
\(404\) | −2.21819e6 | + | 3.84202e6i | −0.676153 | + | 1.17113i | ||||
\(405\) | −144812. | −0.0438699 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.07394e6 | 1.21907 | ||||||||
\(408\) | −1.15340e6 | + | 1.99774e6i | −0.343027 | + | 0.594140i | ||||
\(409\) | −112957. | − | 195647.i | −0.0333891 | − | 0.0578317i | 0.848848 | − | 0.528637i | \(-0.177297\pi\) |
−0.882237 | + | 0.470805i | \(0.843963\pi\) | |||||||
\(410\) | −547236. | − | 947841.i | −0.160774 | − | 0.278468i | ||||
\(411\) | 140986. | − | 244196.i | 0.0411692 | − | 0.0713072i | ||||
\(412\) | −1.06328e6 | −0.308605 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 710513. | 0.203738 | ||||||||
\(415\) | 776873. | − | 1.34558e6i | 0.221426 | − | 0.383522i | ||||
\(416\) | 2.24213e6 | + | 3.88349e6i | 0.635226 | + | 1.10024i | ||||
\(417\) | −685053. | − | 1.18655e6i | −0.192923 | − | 0.334152i | ||||
\(418\) | −4.42471e6 | + | 7.66382e6i | −1.23864 | + | 2.14538i | ||||
\(419\) | −4.31027e6 | −1.19941 | −0.599707 | − | 0.800220i | \(-0.704716\pi\) | ||||
−0.599707 | + | 0.800220i | \(0.704716\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.25088e6 | 0.343962 | 0.171981 | − | 0.985100i | \(-0.444983\pi\) | ||||
0.171981 | + | 0.985100i | \(0.444983\pi\) | |||||||
\(422\) | −5.48784e6 | + | 9.50521e6i | −1.50010 | + | 2.59825i | ||||
\(423\) | 83290.9 | + | 144264.i | 0.0226332 | + | 0.0392019i | ||||
\(424\) | 1.67911e6 | + | 2.90831e6i | 0.453592 | + | 0.785644i | ||||
\(425\) | 1.81424e6 | − | 3.14236e6i | 0.487218 | − | 0.843887i | ||||
\(426\) | 4.80363e6 | 1.28246 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 364087. | 0.0960719 | ||||||||
\(429\) | −1.49625e6 | + | 2.59158e6i | −0.392519 | + | 0.679863i | ||||
\(430\) | −1.99469e6 | − | 3.45490e6i | −0.520240 | − | 0.901081i | ||||
\(431\) | 2.20397e6 | + | 3.81738e6i | 0.571494 | + | 0.989857i | 0.996413 | + | 0.0846252i | \(0.0269693\pi\) |
−0.424919 | + | 0.905231i | \(0.639697\pi\) | |||||||
\(432\) | 13604.8 | − | 23564.2i | 0.00350738 | − | 0.00607495i | ||||
\(433\) | 1.60951e6 | 0.412549 | 0.206274 | − | 0.978494i | \(-0.433866\pi\) | ||||
0.206274 | + | 0.978494i | \(0.433866\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.39752e6 | −0.354108 | ||||||||
\(436\) | −2.94555e6 | + | 5.10184e6i | −0.742079 | + | 1.28532i | ||||
\(437\) | −1.10493e6 | − | 1.91380e6i | −0.276779 | − | 0.479395i | ||||
\(438\) | 1.61588e6 | + | 2.79878e6i | 0.402460 | + | 0.697082i | ||||
\(439\) | −2.21226e6 | + | 3.83175e6i | −0.547867 | + | 0.948933i | 0.450554 | + | 0.892749i | \(0.351227\pi\) |
−0.998420 | + | 0.0561836i | \(0.982107\pi\) | |||||||
\(440\) | 1.71379e6 | 0.422012 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.00771e7 | 2.45347 | ||||||||
\(443\) | 1.80719e6 | − | 3.13015e6i | 0.437517 | − | 0.757801i | −0.559980 | − | 0.828506i | \(-0.689191\pi\) |
0.997497 | + | 0.0707044i | \(0.0225247\pi\) | |||||||
\(444\) | 2.30066e6 | + | 3.98487e6i | 0.553855 | + | 0.959305i | ||||
\(445\) | −1.59254e6 | − | 2.75835e6i | −0.381232 | − | 0.660313i | ||||
\(446\) | −1.36125e6 | + | 2.35776e6i | −0.324042 | + | 0.561257i | ||||
\(447\) | −3.26574e6 | −0.773060 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −467024. | −0.109326 | −0.0546630 | − | 0.998505i | \(-0.517408\pi\) | ||||
−0.0546630 | + | 0.998505i | \(0.517408\pi\) | |||||||
\(450\) | −980855. | + | 1.69889e6i | −0.228336 | + | 0.395489i | ||||
\(451\) | −1.12531e6 | − | 1.94910e6i | −0.260515 | − | 0.451225i | ||||
\(452\) | −2.92865e6 | − | 5.07257e6i | −0.674251 | − | 1.16784i | ||||
\(453\) | 923065. | − | 1.59880e6i | 0.211342 | − | 0.366056i | ||||
\(454\) | 2.00285e6 | 0.456046 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.87893e6 | −0.873575 | ||||||||
\(457\) | 300626. | − | 520699.i | 0.0673342 | − | 0.116626i | −0.830393 | − | 0.557178i | \(-0.811884\pi\) |
0.897727 | + | 0.440552i | \(0.145217\pi\) | |||||||
\(458\) | 5.64280e6 | + | 9.77362e6i | 1.25699 | + | 2.17717i | ||||
\(459\) | 501388. | + | 868430.i | 0.111082 | + | 0.192399i | ||||
\(460\) | −551379. | + | 955016.i | −0.121494 | + | 0.210434i | ||||
\(461\) | −2.87193e6 | −0.629392 | −0.314696 | − | 0.949192i | \(-0.601903\pi\) | ||||
−0.314696 | + | 0.949192i | \(0.601903\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.91502e6 | −0.631959 | −0.315979 | − | 0.948766i | \(-0.602333\pi\) | ||||
−0.315979 | + | 0.948766i | \(0.602333\pi\) | |||||||
\(464\) | 131294. | − | 227409.i | 0.0283107 | − | 0.0490357i | ||||
\(465\) | 125264. | + | 216964.i | 0.0268655 | + | 0.0465324i | ||||
\(466\) | −288953. | − | 500481.i | −0.0616399 | − | 0.106763i | ||||
\(467\) | −3.59688e6 | + | 6.22998e6i | −0.763192 | + | 1.32189i | 0.178006 | + | 0.984029i | \(0.443035\pi\) |
−0.941197 | + | 0.337857i | \(0.890298\pi\) | |||||||
\(468\) | −3.37989e6 | −0.713327 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −416751. | −0.0870227 | ||||||||
\(471\) | 347724. | − | 602275.i | 0.0722241 | − | 0.125096i | ||||
\(472\) | −692755. | − | 1.19989e6i | −0.143128 | − | 0.247905i | ||||
\(473\) | −4.10179e6 | − | 7.10451e6i | −0.842986 | − | 1.46009i | ||||
\(474\) | −403268. | + | 698481.i | −0.0824419 | + | 0.142794i | ||||
\(475\) | 6.10140e6 | 1.24078 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.45984e6 | 0.293772 | ||||||||
\(478\) | 1.00686e6 | − | 1.74393e6i | 0.201557 | − | 0.349108i | ||||
\(479\) | −1.39824e6 | − | 2.42183e6i | −0.278448 | − | 0.482286i | 0.692551 | − | 0.721369i | \(-0.256487\pi\) |
−0.970999 | + | 0.239083i | \(0.923153\pi\) | |||||||
\(480\) | −558187. | − | 966808.i | −0.110580 | − | 0.191530i | ||||
\(481\) | 3.90040e6 | − | 6.75569e6i | 0.768682 | − | 1.33140i | ||||
\(482\) | 3.98340e6 | 0.780974 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 658698. | 0.127812 | ||||||||
\(485\) | 875456. | − | 1.51633e6i | 0.168997 | − | 0.292712i | ||||
\(486\) | −271071. | − | 469509.i | −0.0520586 | − | 0.0901682i | ||||
\(487\) | 1.46624e6 | + | 2.53960e6i | 0.280144 | + | 0.485224i | 0.971420 | − | 0.237367i | \(-0.0762843\pi\) |
−0.691276 | + | 0.722591i | \(0.742951\pi\) | |||||||
\(488\) | −325652. | + | 564046.i | −0.0619020 | + | 0.107217i | ||||
\(489\) | −1.66438e6 | −0.314761 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.06121e6 | −0.573046 | −0.286523 | − | 0.958073i | \(-0.592499\pi\) | ||||
−0.286523 | + | 0.958073i | \(0.592499\pi\) | |||||||
\(492\) | 1.27099e6 | − | 2.20142e6i | 0.236717 | − | 0.410006i | ||||
\(493\) | 4.83870e6 | + | 8.38087e6i | 0.896626 | + | 1.55300i | ||||
\(494\) | 8.47246e6 | + | 1.46747e7i | 1.56204 | + | 2.70553i | ||||
\(495\) | 372497. | − | 645183.i | 0.0683297 | − | 0.118350i | ||||
\(496\) | −47073.4 | −0.00859154 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 5.81687e6 | 1.05103 | ||||||||
\(499\) | 3.27577e6 | − | 5.67380e6i | 0.588928 | − | 1.02005i | −0.405445 | − | 0.914119i | \(-0.632884\pi\) |
0.994373 | − | 0.105934i | \(-0.0337831\pi\) | |||||||
\(500\) | −3.32583e6 | − | 5.76052e6i | −0.594943 | − | 1.03047i | ||||
\(501\) | −581679. | − | 1.00750e6i | −0.103535 | − | 0.179329i | ||||
\(502\) | 7.85497e6 | − | 1.36052e7i | 1.39119 | − | 2.40960i | ||||
\(503\) | 1.58524e6 | 0.279367 | 0.139684 | − | 0.990196i | \(-0.455391\pi\) | ||||
0.139684 | + | 0.990196i | \(0.455391\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.87242e6 | −0.326719 | ||||||||
\(506\) | −1.82764e6 | + | 3.16556e6i | −0.317332 | + | 0.549635i | ||||
\(507\) | 1.19421e6 | + | 2.06843e6i | 0.206329 | + | 0.357373i | ||||
\(508\) | −2.14996e6 | − | 3.72385e6i | −0.369634 | − | 0.640225i | ||||
\(509\) | 3.38991e6 | − | 5.87149e6i | 0.579953 | − | 1.00451i | −0.415530 | − | 0.909579i | \(-0.636404\pi\) |
0.995484 | − | 0.0949297i | \(-0.0302626\pi\) | |||||||
\(510\) | −2.50873e6 | −0.427099 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 432315. | 0.0728829 | ||||||||
\(513\) | −843098. | + | 1.46029e6i | −0.141444 | + | 0.244988i | ||||
\(514\) | −4.51743e6 | − | 7.82441e6i | −0.754195 | − | 1.30630i | ||||
\(515\) | −224383. | − | 388643.i | −0.0372796 | − | 0.0645702i | ||||
\(516\) | 4.63279e6 | − | 8.02422e6i | 0.765981 | − | 1.32672i | ||||
\(517\) | −856990. | −0.141010 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.57081e6 | −0.744859 | ||||||||
\(520\) | 1.64078e6 | − | 2.84192e6i | 0.266099 | − | 0.460897i | ||||
\(521\) | −5.06918e6 | − | 8.78008e6i | −0.818170 | − | 1.41711i | −0.907029 | − | 0.421067i | \(-0.861656\pi\) |
0.0888599 | − | 0.996044i | \(-0.471678\pi\) | |||||||
\(522\) | −2.61600e6 | − | 4.53105e6i | −0.420205 | − | 0.727817i | ||||
\(523\) | 49998.6 | − | 86600.2i | 0.00799289 | − | 0.0138441i | −0.862001 | − | 0.506906i | \(-0.830789\pi\) |
0.869994 | + | 0.493062i | \(0.164122\pi\) | |||||||
\(524\) | 9.19408e6 | 1.46278 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.02301e6 | −0.791589 | ||||||||
\(527\) | 867416. | − | 1.50241e6i | 0.136051 | − | 0.235647i | ||||
\(528\) | 69990.7 | + | 121227.i | 0.0109259 | + | 0.0189241i | ||||
\(529\) | 2.76178e6 | + | 4.78354e6i | 0.429091 | + | 0.743207i | ||||
\(530\) | −1.82610e6 | + | 3.16291e6i | −0.282381 | + | 0.489099i | ||||
\(531\) | −602290. | −0.0926978 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.30952e6 | −0.657068 | ||||||||
\(534\) | 5.96209e6 | − | 1.03266e7i | 0.904785 | − | 1.56713i | ||||
\(535\) | 76833.3 | + | 133079.i | 0.0116055 | + | 0.0201014i | ||||
\(536\) | 1.47729e6 | + | 2.55873e6i | 0.222102 | + | 0.384692i | ||||
\(537\) | −596651. | + | 1.03343e6i | −0.0892862 | + | 0.154648i | ||||
\(538\) | −5.88620e6 | −0.876756 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 841436. | 0.124176 | ||||||||
\(541\) | 59871.4 | − | 103700.i | 0.00879481 | − | 0.0152331i | −0.861595 | − | 0.507597i | \(-0.830534\pi\) |
0.870389 | + | 0.492364i | \(0.163867\pi\) | |||||||
\(542\) | 2.51571e6 | + | 4.35734e6i | 0.367843 | + | 0.637123i | ||||
\(543\) | 3.33027e6 | + | 5.76820e6i | 0.484708 | + | 0.839538i | ||||
\(544\) | −3.86527e6 | + | 6.69485e6i | −0.559993 | + | 0.969937i | ||||
\(545\) | −2.48640e6 | −0.358574 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 236568. | 0.0338056 | 0.0169028 | − | 0.999857i | \(-0.494619\pi\) | ||||
0.0169028 | + | 0.999857i | \(0.494619\pi\) | |||||||
\(548\) | −819209. | + | 1.41891e6i | −0.116531 | + | 0.201838i | ||||
\(549\) | 141563. | + | 245194.i | 0.0200456 | + | 0.0347200i | ||||
\(550\) | −5.04607e6 | − | 8.74005e6i | −0.711290 | − | 1.23199i | ||||
\(551\) | −8.13641e6 | + | 1.40927e7i | −1.14170 | + | 1.97749i | ||||
\(552\) | −1.60220e6 | −0.223805 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −1.53707e7 | −2.12774 | ||||||||
\(555\) | −971018. | + | 1.68185e6i | −0.133812 | + | 0.231769i | ||||
\(556\) | 3.98054e6 | + | 6.89449e6i | 0.546078 | + | 0.945834i | ||||
\(557\) | 2.41833e6 | + | 4.18867e6i | 0.330277 | + | 0.572056i | 0.982566 | − | 0.185914i | \(-0.0595247\pi\) |
−0.652289 | + | 0.757970i | \(0.726191\pi\) | |||||||
\(558\) | −468961. | + | 812264.i | −0.0637604 | + | 0.110436i | ||||
\(559\) | −1.57083e7 | −2.12617 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.15885e6 | −0.692063 | ||||||||
\(562\) | 8.31258e6 | − | 1.43978e7i | 1.11018 | − | 1.92290i | ||||
\(563\) | −2.74147e6 | − | 4.74837e6i | −0.364513 | − | 0.631355i | 0.624185 | − | 0.781277i | \(-0.285431\pi\) |
−0.988698 | + | 0.149922i | \(0.952098\pi\) | |||||||
\(564\) | −483966. | − | 838254.i | −0.0640644 | − | 0.110963i | ||||
\(565\) | 1.23607e6 | − | 2.14093e6i | 0.162900 | − | 0.282151i | ||||
\(566\) | 2.30738e7 | 3.02746 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.08322e7 | −1.40878 | ||||||||
\(569\) | 3.48830e6 | − | 6.04191e6i | 0.451682 | − | 0.782336i | −0.546809 | − | 0.837258i | \(-0.684157\pi\) |
0.998491 | + | 0.0549213i | \(0.0174908\pi\) | |||||||
\(570\) | −2.10925e6 | − | 3.65333e6i | −0.271920 | − | 0.470979i | ||||
\(571\) | 5.88573e6 | + | 1.01944e7i | 0.755458 | + | 1.30849i | 0.945146 | + | 0.326647i | \(0.105919\pi\) |
−0.189689 | + | 0.981844i | \(0.560748\pi\) | |||||||
\(572\) | 8.69404e6 | − | 1.50585e7i | 1.11104 | − | 1.92439i | ||||
\(573\) | 5.24459e6 | 0.667306 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.52020e6 | 0.317882 | ||||||||
\(576\) | 2.13810e6 | − | 3.70329e6i | 0.268517 | − | 0.465085i | ||||
\(577\) | 3.38646e6 | + | 5.86552e6i | 0.423454 | + | 0.733444i | 0.996275 | − | 0.0862365i | \(-0.0274841\pi\) |
−0.572820 | + | 0.819681i | \(0.694151\pi\) | |||||||
\(578\) | 2.16807e6 | + | 3.75521e6i | 0.269932 | + | 0.467535i | ||||
\(579\) | −1.80407e6 | + | 3.12474e6i | −0.223644 | + | 0.387362i | ||||
\(580\) | 8.12037e6 | 1.00232 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 6.55501e6 | 0.802169 | ||||||||
\(583\) | −3.75512e6 | + | 6.50407e6i | −0.457565 | + | 0.792526i | ||||
\(584\) | −3.64380e6 | − | 6.31124e6i | −0.442102 | − | 0.765743i | ||||
\(585\) | −713259. | − | 1.23540e6i | −0.0861703 | − | 0.149251i | ||||
\(586\) | −492242. | + | 852588.i | −0.0592154 | + | 0.102564i | ||||
\(587\) | 1.05020e7 | 1.25799 | 0.628996 | − | 0.777408i | \(-0.283466\pi\) | ||||
0.628996 | + | 0.777408i | \(0.283466\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.91717e6 | 0.346476 | ||||||||
\(590\) | 753400. | − | 1.30493e6i | 0.0891036 | − | 0.154332i | ||||
\(591\) | 3.02215e6 | + | 5.23452e6i | 0.355916 | + | 0.616464i | ||||
\(592\) | −182451. | − | 316014.i | −0.0213964 | − | 0.0370597i | ||||
\(593\) | −3.79537e6 | + | 6.57378e6i | −0.443218 | + | 0.767676i | −0.997926 | − | 0.0643687i | \(-0.979497\pi\) |
0.554708 | + | 0.832045i | \(0.312830\pi\) | |||||||
\(594\) | 2.78909e6 | 0.324336 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.89758e7 | 2.18818 | ||||||||
\(597\) | 2.04760e6 | − | 3.54654e6i | 0.235130 | − | 0.407258i | ||||
\(598\) | 3.49957e6 | + | 6.06144e6i | 0.400186 | + | 0.693143i | ||||
\(599\) | 6.50992e6 | + | 1.12755e7i | 0.741325 | + | 1.28401i | 0.951892 | + | 0.306434i | \(0.0991358\pi\) |
−0.210567 | + | 0.977580i | \(0.567531\pi\) | |||||||
\(600\) | 2.21183e6 | − | 3.83099e6i | 0.250826 | − | 0.434443i | ||||
\(601\) | −1.41821e7 | −1.60160 | −0.800801 | − | 0.598931i | \(-0.795592\pi\) | ||||
−0.800801 | + | 0.598931i | \(0.795592\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.28437e6 | 0.143846 | ||||||||
\(604\) | −5.36352e6 | + | 9.28988e6i | −0.598215 | + | 1.03614i | ||||
\(605\) | 139005. | + | 240764.i | 0.0154398 | + | 0.0267426i | ||||
\(606\) | −3.50495e6 | − | 6.07075e6i | −0.387704 | − | 0.671523i | ||||
\(607\) | 6.03862e6 | − | 1.04592e7i | 0.665221 | − | 1.15220i | −0.314004 | − | 0.949422i | \(-0.601671\pi\) |
0.979225 | − | 0.202775i | \(-0.0649961\pi\) | |||||||
\(608\) | −1.29991e7 | −1.42612 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −708320. | −0.0770735 | ||||||||
\(611\) | −820485. | + | 1.42112e6i | −0.0889135 | + | 0.154003i | ||||
\(612\) | −2.91334e6 | − | 5.04606e6i | −0.314422 | − | 0.544595i | ||||
\(613\) | 1.36265e6 | + | 2.36018e6i | 0.146465 | + | 0.253684i | 0.929918 | − | 0.367766i | \(-0.119877\pi\) |
−0.783454 | + | 0.621450i | \(0.786544\pi\) | |||||||
\(614\) | −6.86855e6 | + | 1.18967e7i | −0.735266 | + | 1.27352i | ||||
\(615\) | 1.07287e6 | 0.114382 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.47094e6 | 0.895816 | 0.447908 | − | 0.894080i | \(-0.352169\pi\) | ||||
0.447908 | + | 0.894080i | \(0.352169\pi\) | |||||||
\(618\) | 840038. | − | 1.45499e6i | 0.0884765 | − | 0.153246i | ||||
\(619\) | 8.69174e6 | + | 1.50545e7i | 0.911759 | + | 1.57921i | 0.811578 | + | 0.584243i | \(0.198609\pi\) |
0.100180 | + | 0.994969i | \(0.468058\pi\) | |||||||
\(620\) | −727855. | − | 1.26068e6i | −0.0760441 | − | 0.131712i | ||||
\(621\) | −348244. | + | 603176.i | −0.0362372 | + | 0.0627647i | ||||
\(622\) | 7.90690e6 | 0.819464 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 268037. | 0.0275571 | ||||||||
\(625\) | −2.71793e6 | + | 4.70759e6i | −0.278316 | + | 0.482058i | ||||
\(626\) | 2.31338e6 | + | 4.00689e6i | 0.235945 | + | 0.408669i | ||||
\(627\) | −4.33737e6 | − | 7.51255e6i | −0.440613 | − | 0.763165i | ||||
\(628\) | −2.02047e6 | + | 3.49955e6i | −0.204434 | + | 0.354090i | ||||
\(629\) | 1.34480e7 | 1.35529 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.45149e6 | −0.645040 | −0.322520 | − | 0.946563i | \(-0.604530\pi\) | ||||
−0.322520 | + | 0.946563i | \(0.604530\pi\) | |||||||
\(632\) | 909368. | − | 1.57507e6i | 0.0905622 | − | 0.156858i | ||||
\(633\) | −5.37951e6 | − | 9.31759e6i | −0.533622 | − | 0.924260i | ||||
\(634\) | −2.20353e6 | − | 3.81663e6i | −0.217719 | − | 0.377101i | ||||
\(635\) | 907413. | − | 1.57169e6i | 0.0893040 | − | 0.154679i | ||||
\(636\) | −8.48249e6 | −0.831535 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.69164e7 | 2.61797 | ||||||||
\(639\) | −2.35440e6 | + | 4.07795e6i | −0.228102 | + | 0.395084i | ||||
\(640\) | 3.36439e6 | + | 5.82730e6i | 0.324681 | + | 0.562364i | ||||
\(641\) | −8.88581e6 | − | 1.53907e7i | −0.854185 | − | 1.47949i | −0.877399 | − | 0.479761i | \(-0.840723\pi\) |
0.0232142 | − | 0.999731i | \(-0.492610\pi\) | |||||||
\(642\) | −287647. | + | 498218.i | −0.0275437 | + | 0.0477070i | ||||
\(643\) | 9.34806e6 | 0.891649 | 0.445825 | − | 0.895120i | \(-0.352910\pi\) | ||||
0.445825 | + | 0.895120i | \(0.352910\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.91063e6 | 0.370124 | ||||||||
\(646\) | −1.46059e7 | + | 2.52981e7i | −1.37704 | + | 2.38510i | ||||
\(647\) | 2.67193e6 | + | 4.62792e6i | 0.250937 | + | 0.434635i | 0.963784 | − | 0.266684i | \(-0.0859280\pi\) |
−0.712847 | + | 0.701319i | \(0.752595\pi\) | |||||||
\(648\) | 611265. | + | 1.05874e6i | 0.0571863 | + | 0.0990495i | ||||
\(649\) | 1.54926e6 | − | 2.68340e6i | 0.144382 | − | 0.250077i | ||||
\(650\) | −1.93245e7 | −1.79401 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.67098e6 | 0.890946 | ||||||||
\(653\) | 598506. | − | 1.03664e6i | 0.0549270 | − | 0.0951363i | −0.837255 | − | 0.546813i | \(-0.815841\pi\) |
0.892182 | + | 0.451677i | \(0.149174\pi\) | |||||||
\(654\) | −4.65425e6 | − | 8.06140e6i | −0.425506 | − | 0.736998i | ||||
\(655\) | 1.94022e6 | + | 3.36057e6i | 0.176705 | + | 0.306062i | ||||
\(656\) | −100794. | + | 174580.i | −0.00914481 | + | 0.0158393i | ||||
\(657\) | −3.16796e6 | −0.286330 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.17541e7 | −1.05433 | −0.527163 | − | 0.849764i | \(-0.676744\pi\) | ||||
−0.527163 | + | 0.849764i | \(0.676744\pi\) | |||||||
\(660\) | −2.16441e6 | + | 3.74887e6i | −0.193410 | + | 0.334997i | ||||
\(661\) | −9.00573e6 | − | 1.55984e7i | −0.801706 | − | 1.38860i | −0.918493 | − | 0.395438i | \(-0.870593\pi\) |
0.116787 | − | 0.993157i | \(-0.462741\pi\) | |||||||
\(662\) | −1.00958e7 | − | 1.74864e7i | −0.895353 | − | 1.55080i | ||||
\(663\) | −4.93910e6 | + | 8.55476e6i | −0.436379 | + | 0.755830i | ||||
\(664\) | −1.31170e7 | −1.15456 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −7.27054e6 | −0.635157 | ||||||||
\(667\) | −3.36076e6 | + | 5.82102e6i | −0.292498 | + | 0.506622i | ||||
\(668\) | 3.37987e6 | + | 5.85411e6i | 0.293062 | + | 0.507598i | ||||
\(669\) | −1.33438e6 | − | 2.31122e6i | −0.115270 | − | 0.199653i | ||||
\(670\) | −1.60661e6 | + | 2.78273e6i | −0.138268 | + | 0.239488i | ||||
\(671\) | −1.45656e6 | −0.124888 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.40977e7 | 1.19981 | 0.599904 | − | 0.800072i | \(-0.295206\pi\) | ||||
0.599904 | + | 0.800072i | \(0.295206\pi\) | |||||||
\(674\) | −6.23063e6 | + | 1.07918e7i | −0.528302 | + | 0.915046i | ||||
\(675\) | −961494. | − | 1.66536e6i | −0.0812245 | − | 0.140685i | ||||
\(676\) | −6.93902e6 | − | 1.20187e7i | −0.584025 | − | 1.01156i | ||||
\(677\) | 3.82793e6 | − | 6.63018e6i | 0.320991 | − | 0.555973i | −0.659702 | − | 0.751527i | \(-0.729317\pi\) |
0.980693 | + | 0.195555i | \(0.0626507\pi\) | |||||||
\(678\) | 9.25510e6 | 0.773227 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 5.65718e6 | 0.469167 | ||||||||
\(681\) | −981657. | + | 1.70028e6i | −0.0811133 | + | 0.140492i | ||||
\(682\) | −2.41260e6 | − | 4.17874e6i | −0.198621 | − | 0.344021i | ||||
\(683\) | 5.43378e6 | + | 9.41158e6i | 0.445708 | + | 0.771988i | 0.998101 | − | 0.0615953i | \(-0.0196188\pi\) |
−0.552394 | + | 0.833583i | \(0.686285\pi\) | |||||||
\(684\) | 4.89886e6 | − | 8.48508e6i | 0.400364 | − | 0.693451i | ||||
\(685\) | −691510. | −0.0563083 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.10628e7 | −0.894283 | ||||||||
\(688\) | −367396. | + | 636348.i | −0.0295912 | + | 0.0512535i | ||||
\(689\) | 7.19034e6 | + | 1.24540e7i | 0.577034 | + | 0.999452i | ||||
\(690\) | −871231. | − | 1.50902e6i | −0.0696643 | − | 0.120662i | ||||
\(691\) | −7.30588e6 | + | 1.26542e7i | −0.582073 | + | 1.00818i | 0.413160 | + | 0.910658i | \(0.364425\pi\) |
−0.995233 | + | 0.0975219i | \(0.968908\pi\) | |||||||
\(692\) | 2.65589e7 | 2.10836 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.48832e7 | −2.74927 | ||||||||
\(695\) | −1.68002e6 | + | 2.90989e6i | −0.131933 | + | 0.228515i | ||||
\(696\) | 5.89907e6 | + | 1.02175e7i | 0.461594 | + | 0.799505i | ||||
\(697\) | −3.71464e6 | − | 6.43395e6i | −0.289624 | − | 0.501644i | ||||
\(698\) | 6.04827e6 | − | 1.04759e7i | 0.469886 | − | 0.813867i | ||||
\(699\) | 566498. | 0.0438536 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.90104e7 | 1.46115 | 0.730577 | − | 0.682830i | \(-0.239251\pi\) | ||||
0.730577 | + | 0.682830i | \(0.239251\pi\) | |||||||
\(702\) | 2.67028e6 | − | 4.62506e6i | 0.204510 | − | 0.354221i | ||||
\(703\) | 1.13066e7 | + | 1.95836e7i | 0.862866 | + | 1.49453i | ||||
\(704\) | 1.09996e7 | + | 1.90518e7i | 0.836458 | + | 1.44879i | ||||
\(705\) | 204263. | − | 353793.i | 0.0154780 | − | 0.0268088i | ||||
\(706\) | −3.14462e7 | −2.37441 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.49964e6 | 0.262386 | ||||||||
\(709\) | 5.79644e6 | − | 1.00397e7i | 0.433058 | − | 0.750078i | −0.564077 | − | 0.825722i | \(-0.690768\pi\) |
0.997135 | + | 0.0756440i | \(0.0241013\pi\) | |||||||
\(710\) | −5.89021e6 | − | 1.02021e7i | −0.438516 | − | 0.759531i | ||||
\(711\) | −395308. | − | 684693.i | −0.0293266 | − | 0.0507951i | ||||
\(712\) | −1.34445e7 | + | 2.32865e7i | −0.993904 | + | 1.72149i | ||||
\(713\) | 1.20494e6 | 0.0887653 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.33881e6 | 0.536859 | ||||||||
\(716\) | 3.46687e6 | − | 6.00479e6i | 0.252729 | − | 0.437739i | ||||
\(717\) | 986984. | + | 1.70951e6i | 0.0716989 | + | 0.124186i | ||||
\(718\) | 6.75205e6 | + | 1.16949e7i | 0.488792 | + | 0.846613i | ||||
\(719\) | −5.14304e6 | + | 8.90800e6i | −0.371020 | + | 0.642626i | −0.989723 | − | 0.142999i | \(-0.954325\pi\) |
0.618703 | + | 0.785625i | \(0.287659\pi\) | |||||||
\(720\) | −66728.8 | −0.00479713 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −2.63868e7 | −1.88384 | ||||||||
\(723\) | −1.95239e6 | + | 3.38163e6i | −0.138906 | + | 0.240592i | ||||
\(724\) | −1.93507e7 | − | 3.35164e7i | −1.37199 | − | 2.37635i | ||||
\(725\) | −9.27900e6 | − | 1.60717e7i | −0.655626 | − | 1.13558i | ||||
\(726\) | −520403. | + | 901365.i | −0.0366436 | + | 0.0634686i | ||||
\(727\) | −1.00970e7 | −0.708526 | −0.354263 | − | 0.935146i | \(-0.615268\pi\) | ||||
−0.354263 | + | 0.935146i | \(0.615268\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 3.96278e6 | − | 6.86373e6i | 0.275228 | − | 0.476709i | ||||
\(731\) | −1.35399e7 | − | 2.34518e7i | −0.937180 | − | 1.62324i | ||||
\(732\) | −822560. | − | 1.42471e6i | −0.0567400 | − | 0.0982766i | ||||
\(733\) | 962010. | − | 1.66625e6i | 0.0661332 | − | 0.114546i | −0.831063 | − | 0.556178i | \(-0.812267\pi\) |
0.897196 | + | 0.441632i | \(0.145600\pi\) | |||||||
\(734\) | −4.57298e7 | −3.13299 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.36932e6 | −0.365363 | ||||||||
\(737\) | −3.30376e6 | + | 5.72228e6i | −0.224047 | + | 0.388061i | ||||
\(738\) | 2.00829e6 | + | 3.47846e6i | 0.135733 | + | 0.235096i | ||||
\(739\) | −2.10136e6 | − | 3.63967e6i | −0.141543 | − | 0.245161i | 0.786535 | − | 0.617546i | \(-0.211873\pi\) |
−0.928078 | + | 0.372386i | \(0.878540\pi\) | |||||||
\(740\) | 5.64215e6 | − | 9.77249e6i | 0.378761 | − | 0.656034i | ||||
\(741\) | −1.66104e7 | −1.11131 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.99659e7 | −1.32684 | −0.663418 | − | 0.748249i | \(-0.730895\pi\) | ||||
−0.663418 | + | 0.748249i | \(0.730895\pi\) | |||||||
\(744\) | 1.05751e6 | − | 1.83165e6i | 0.0700407 | − | 0.121314i | ||||
\(745\) | 4.00445e6 | + | 6.93592e6i | 0.264334 | + | 0.457839i | ||||
\(746\) | 1.81810e7 | + | 3.14904e7i | 1.19611 | + | 2.07172i | ||||
\(747\) | −2.85102e6 | + | 4.93812e6i | −0.186939 | + | 0.323787i | ||||
\(748\) | 2.99757e7 | 1.95892 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1.05103e7 | 0.682277 | ||||||||
\(751\) | 1.81988e6 | − | 3.15212e6i | 0.117745 | − | 0.203940i | −0.801129 | − | 0.598492i | \(-0.795767\pi\) |
0.918874 | + | 0.394552i | \(0.129100\pi\) | |||||||
\(752\) | 38380.1 | + | 66476.4i | 0.00247492 | + | 0.00428670i | ||||
\(753\) | 7.69992e6 | + | 1.33366e7i | 0.494878 | + | 0.857155i | ||||
\(754\) | 2.57698e7 | − | 4.46346e7i | 1.65076 | − | 2.85919i | ||||
\(755\) | −4.52745e6 | −0.289059 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.73429e7 | 1.09997 | 0.549986 | − | 0.835174i | \(-0.314633\pi\) | ||||
0.549986 | + | 0.835174i | \(0.314633\pi\) | |||||||
\(758\) | −8.04067e6 | + | 1.39268e7i | −0.508299 | + | 0.880399i | ||||
\(759\) | −1.79156e6 | − | 3.10308e6i | −0.112883 | − | 0.195519i | ||||
\(760\) | 4.75635e6 | + | 8.23824e6i | 0.298703 | + | 0.517369i | ||||
\(761\) | −5.17841e6 | + | 8.96927e6i | −0.324142 | + | 0.561430i | −0.981338 | − | 0.192289i | \(-0.938409\pi\) |
0.657196 | + | 0.753719i | \(0.271742\pi\) | |||||||
\(762\) | 6.79430e6 | 0.423894 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −3.04740e7 | −1.88884 | ||||||||
\(765\) | 1.22960e6 | − | 2.12974e6i | 0.0759647 | − | 0.131575i | ||||
\(766\) | −1.44069e7 | − | 2.49535e7i | −0.887153 | − | 1.53659i | ||||
\(767\) | −2.96653e6 | − | 5.13818e6i | −0.182079 | − | 0.315371i | ||||
\(768\) | −4.99339e6 | + | 8.64881e6i | −0.305487 | + | 0.529119i | ||||
\(769\) | 1.81548e7 | 1.10707 | 0.5 |